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12451441024 = 271161144973
BaseRepresentation
bin10111001100010100…
…11110100110000000
31012010202120202000101
423212022132212000
5201000032103044
65415313332144
7620362334221
oct134612364600
935122522011
1012451441024
11530a571a30
1224b5b67054
1312358473a9
14861973248
154cd1e5cd4
hex2e629e980

12451441024 has 64 divisors (see below), whose sum is σ = 27504467280. Its totient is φ = 5566924800.

The previous prime is 12451440961. The next prime is 12451441027. The reversal of 12451441024 is 42014415421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12451440983 and 12451441001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12451441027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13402 + ... + 158374.

Almost surely, 212451441024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12451441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13752233640).

12451441024 is an abundant number, since it is smaller than the sum of its proper divisors (15053026256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12451441024 is a wasteful number, since it uses less digits than its factorization.

12451441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145059 (or 145047 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 12451441024 its reverse (42014415421), we get a palindrome (54465856445).

The spelling of 12451441024 in words is "twelve billion, four hundred fifty-one million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 352 488 671 704 976 1342 1408 1952 2684 3904 5368 7808 10736 21472 42944 85888 144973 289946 579892 1159784 1594703 2319568 3189406 4639136 6378812 8843353 9278272 12757624 17686706 18556544 25515248 35373412 51030496 70746824 97276883 102060992 141493648 194553766 204121984 282987296 389107532 565974592 778215064 1131949184 1556430128 3112860256 6225720512 12451441024